IBM Research

PUZZLE   IBM-022

N**C is integer

IBM Research · Ponder This · 2000-02

IBM Ponder This #022 · February 2000

Suppose C is a positive real number such that for all positive integers N it is true that (N raised to the C power) is an integer. Does C have to be an integer? Why or why not?

Solution

Best opened after a real attempt

To be added.